What is the 6236th prime number?
The 6236th prime number is 62039. The next prime is 62047 (a gap of 8) and the one before is 62017.
Position
Pick any whole number from 1 to 10,000.
How to work it out
- 1
List the primes in order: 2, 3, 5, 7, 11, 13, ā¦ The 6236th one is 62039.
- 2
62039 is prime because no prime up to ā62039 ā 249.08 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6236th prime is close to 6236 Ć ln(6236) ā 54491, and here it is 62039.
- 4
62039 has no twin: neither 62037 nor 62041 is prime.
Primes around the 6236th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6233 | 62003 | 12 |
| 6234 | 62011 | 8 |
| 6235 | 62017 | 6 |
| 6236 | 62039 | 22 |
| 6237 | 62047 | 8 |
| 6238 | 62053 | 6 |
| 6239 | 62057 | 4 |
Questions
What is the 6236th prime number?
62039.
Which prime number is 62039?
62039 is the 6236th prime number.
What is the sum of the first 6236 primes?
182,772,179.